Oscillation of solutions of higher order nonlinear difference equations

This thesis consists of four chapters. In the first chapter, general information about difference equations and some of the studies in the literature are presented, and some studies that have been studied in recent years on the subject of our thesis are given with their results. In the second chapter, we mention some basic notions and theorems about difference equations. In the third chapter, completely original results are given that were not previously available in the literature on the oscillation of solutions of the high-order nonlinear mixed type neutral difference equation; Δ^m [x(n)+p(n)h(x(σ(n)))]+q(n)f(x(τ(n)))=0,n∈N={0,1,…} where {p(n)} and {q(n)} are sequences of nonnegative real numbers, h,f:R→R are continuous and nondecreasing with uh(u)>0,uf(u)>0,u≠0 , and {σ(n)} and {τ(n)} are sequences of integers such that Lim┬(n→∞)⁡τ(n)=lim┬(n→∞)⁡σ(n)=∞. Finally, the discussion and conclusion part is given.